Atkin-Lehner |
2+ 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176h |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3469312 |
Modular degree for the optimal curve |
Δ |
-1.4699490276877E+19 |
Discriminant |
Eigenvalues |
2+ 1 2 3 -5 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2343517,-1393909757] |
[a1,a2,a3,a4,a6] |
j |
-1390043097747102226432/14354970973512683 |
j-invariant |
L |
1.7072343720469 |
L(r)(E,1)/r! |
Ω |
0.060972662670513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176bp1 15272b1 |
Quadratic twists by: -4 8 |